Question

Two boxes each contain 600 numbered tiles. The double dot plot shows a random sample of 8 numbers from each box. Compare the samples using measures of center and variation. Can you determine which box contains tiles with greater numbers?

yes
no
Explain:

Answer 1

Yes because 600 number towels box 8 numbers from each box compared the samples using measures of center in variation know the towels will not have a greater numbers

Answer 2

Yes, we can determine with some confidence that Box A contains tiles with greater numbers.

Based on the image you sent, which shows a double dot plot of 8 random samples from two boxes containing numbered tiles, here's an explanation of whether we can determine which box has greater numbers:

Yes, we can determine with some confidence that Box A contains tiles with greater numbers.

Here's why:

Measures of center:

The median of Box A is clearly higher than the median of Box B. The middle dot in Box A is around 500, while the middle dot in Box B is around 300. This suggests that Box A tends to have higher values overall.

The mean (average) of Box A is likely also higher than that of Box B, although it's not directly visible in the dot plot. However, the general trend of values in Box A being higher than those in Box B supports this assumption.

Measures of variation:

The spread of the dots in Box A is smaller than the spread in Box B. This indicates that the values in Box A are more clustered around the center, while those in Box B are more scattered. This further suggests that Box A tends to have higher values, as outliers pulling the mean down are less likely.

Therefore, based on the available information, we can conclude with some confidence that Box A contains tiles with greater numbers than Box B.